Moscow banned most food imports from the U.S., European Union, Canada, Australia, and other countries last year, in retaliation for Western sanctions imposed on Russia over its involvement in the crisis in Ukraine.
But Russian food producers and farmers have complained the embargo is not being enforced properly.
The government says banned products are still finding their way onto Russian supermarket shelves even after shipments are sent back at the border. So it has decided to get tough.
According to the presidential decree published by the Kremlin, the destruction will be supervised by two officials, and documented on video and in photos.
The decree doesn't specify exactly how the food will be destroyed. But Russian media reported some items, such as cheese and meet, will be burned in incinerators.
Border police will also start inspecting food warehouses and supermarkets, looking for smuggled foods.